Litecoin's decentralized consensus mechanism, similar to Bitcoin's, is based on a proof-of-work algorithm called Scrypt. This algorithm requires miners to solve complex mathematical puzzles in order to validate transactions and add new blocks to the Litecoin blockchain. Miners compete to solve these puzzles, and the first one to solve it is rewarded with newly minted Litecoins. This process ensures that transactions are verified and added to the blockchain in a decentralized and trustless manner.